#include<bits/stdc++.h>
using namespace std;
using ll=long long;
int n,t;
ll f[4004],p[4004],l[4004];
ll dp[4004][4004];
deque<pair<ll,ll>> dq[4004];
long double slope(pair<ll,ll> a,pair<ll,ll> b)
{
	return 1.0L*(b.first-a.first)/(b.second-a.second);
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	cin>>n>>t;
	for(int i=1;i<=n;i++)
		cin>>l[i]>>p[i]>>f[i];
	for(int i=1;i<=n;i++)
		for(int j=1;j<n;j++)
			if(f[j]>f[j+1])
			{
				swap(f[j],f[j+1]);
				swap(p[j],p[j+1]);
				swap(l[j],l[j+1]);
			}
	for(int i=0;i<=n;i++)
		for(int j=0;j<=t;j++)
			dp[i][j]=-1e14;
	dp[0][0]=0;
	for(int i=1;i<=n;i++)
	{
		for(int j=0;j<=t;j++) if(dp[i-1][j]>=-1e13)
		{
			ll vy=dp[i-1][j]-f[i-1]*f[i-1];
			ll vx=f[i-1]+f[i-1];
			while(dq[j].size()>1&&slope(dq[j][dq[j].size()-2],dq[j].back())<slope(dq[j].back(),pair<ll,ll>(vy,vx)))
				dq[j].pop_back();
			dq[j].emplace_back(vy,vx);
		}
		for(int j=0;j<=t-l[i];j++) if(dq[j].size())
		{
			while(dq[j].size()>1&&slope(dq[j][0],dq[j][1])<-f[i])
				dq[j].pop_front();
			dp[i][j+l[i]]=dq[j][0].first+dq[j][0].second*f[i]-f[i]*f[i]+p[i];
		}
		dp[i][l[i]]=max(dp[i][l[i]],p[i]);
	}
	ll ans=0;
	for(int i=0;i<=n;i++)
		for(int j=0;j<=t;j++)
			ans=max(ans,dp[i][j]);
	cout<<ans<<endl;
	return 0;
}